863226000 has 960 divisors, whose sum is σ = 4055740416. Its totient is φ = 165888000.

The previous prime is 863225963. The next prime is 863226011. The reversal of 863226000 is 622368.

863226000 is a `hidden beast` number, since 8 + 632 + 26 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27845985 + ... + 27846015.

Almost surely, 2^863226000 is an apocalyptic number.

863226000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027870208).

863226000 is an abundant number, since it is smaller than the sum of its proper divisors (3192514416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

863226000 is a wasteful number, since it uses less digits than its factorization.

863226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 863226000 is about 29380.7079560721. The cubic root of 863226000 is about 952.1561368557.

Adding to 863226000 its reverse (622368), we get a palindrome (863848368).

The spelling of 863226000 in words is "eight hundred sixty-three million, two hundred twenty-six thousand".